Prove gcd(n, n+1) = 1.

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Q: ISLU Portal M Gmail Classes Grammarly GDrive Evaluate the given piecewise function at f(2) f(x)=…

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Q: A study on the effect of remediation to the performance of students i mathematics. Descriptive…

A: we can give answer by using definition

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A: We have to find number of automobile license plates where each plate contains 2 different letters…

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Q: Consider the Kenken Puzzle. What should be the value of x and y? * 2+ 6X 9+ 1 2- y ४ 2+ 1- x = 1; y…

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Q: Q2; find all spanning tree for the following graph

A: We know that , given a graph G = V , E , a subgraph of G that connects all vertices and it is a tree…

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A: Given Principal amount = P = P8000 Time = t = 12 years 9 months Final amount = A = P16000

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Q: USING MAPLE plot the following polynomial: y = 4x^2 + 2x^3 - x^2-(1/2)x - 3 and a) determine its…

A: As per the question we have the following function : y = 4x2 + 2x3 - x2 - (1/2)x - 3 And we have to…

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A: We need to identify whether series converges , absolutely convergent or divergent. 1)  ∑n=1∞ -5nnn6n…

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Q: Find the Laplace transform of the following: 1. 4t + 12 2. 1.5 sin(3t-3)

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Q: Express the expression 5.x² * in into Sigma notation.

A: The binomial expansion:a+bn can be expressed in Sigma notation as: a+bn=∑r=0nnr an-rbr.

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Q: Find the laplace transform of f(t) = 2t¹ - 3e³t + 10 cos 2t

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Q: (d) on {1,2,3} given by R₁ = {(1, 1), (2, 2), (3, 3), (2, 3), (3, 2)}

A: Use the given set and relation.

Q: Show that if A is closed in Y and Y is closed in X, then A is closed in X.

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Q: 1. Given z = f(x, y) = √x² + y² + 4y. (a) Find its domain and range. (b) Sketch the level curves for…

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Q: [1 Encode the word KNIVES using the encoding matrix: L3 4 O a [53 78 75 106 L62 86 [53 78 75 105 161…

A: Given word is KNIVES.Encoding matrix A=1234The word KNIVES is encoded as shown below.

Q: Find the laplace transform of f(t) = t²e-3t cos 6t OF (s): 28³-1882-1628-591 (s²+6s+45) OF (s) =…

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Q: 3. Quadrature: (a) Use two point Gauss-Legendre quadrature to approximate cos(2²) dr.

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Q: 9- Give five examples about application of polar coordinates in real life

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A: In Kruskal's algorithm, the edge with minimum weight is chosen first.

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Q: [Multiple Choice C] The question(s) that follow refer to the problem of finding the minimum spanning…

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Q: A technician discovered that the cumulative distribution function (CDF) of the lifespan of bulb in…

A: Given that,A technician discovered that the cumulative distribution (CDF) of thelifespan of bulb in…

Q: Let M₂ (R) be the set of 2 x 2 matrices with real number entries, i.e., b M₂ (R) = { [ a &] |…

A: The given matrix is M2ℝ=abcd: a,b,c,d∈ℝ To find : (a) M2ℝ is a ring under addition and…

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Q: Use Newton-Raphson (Newton's) method to find the solution to the following within 10° x³2x²5= 0,…

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Q: Example 8.1. Given that 1.0 1.1 y: 7.989 8.403 dy find and dx (a) x = 1.1 (b)x= 1.6. d'y at dx² 1.2…

A: We need to make difference table to solve this problem. Please find step by step solution below:

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Q: cosh 1+j T 2 * T sin 1-j- 2

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Q: 2 dy +4. dt d² y dt² +4y=2e¹

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Q: (36) (37) Solve the initial value dy + y.cosn बम Solve dy + Y = -√²³ loght कम म n ··Corn · = SIAZK)…

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